Results 51 to 60 of about 577 (166)
FRACTIONAL CALCULUS AND LAMBERT FUNCTION I. LIOUVILLE–WEYL FRACTIONAL INTEGRAL
Acta Polytechnica, 2014 The interconnection between the Liouville–Weyl fractional integral and the Lambert function is studied. The class of modified Abel equations of the first kind is solved.
Vladimír Vojta
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On the Commutativity of a Certain Class of Toeplitz Operators
Concrete Operators, 2014 One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam +2 more
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Asymptotics of integrodifferential models with integrable kernels II
International Journal of Mathematics and Mathematical Sciences, 2003 Nonlinear singularly perturbed Volterra integrodifferential equations with weakly singular kernels are investigated using singular perturbation methods, the Mellin transform technique, and the theory of fractional integration.
Angelina M. Bijura
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Mellin Transform of Weierstrass Zeta Function and Integral Representations of Some Lambert Series
MathematicsWe consider a series which combines two Dirichlet series constructed from the coefficients of a Laurent series and derive a general integral representation of the series as a Mellin transform.
Namhoon Kim
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HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS [PDF]
International Journal of Modern Physics A, 1999 This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic series, binomial coefficients and denominators. In addition it treats Mellin transforms and the inverse Mellin transformation for functions that are encountered in Feynman diagram calculations.
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Certain Properties of Extended Mittag-Leffler-Type Function of Arbitrary Order [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعيةIn this paper, we introduce a new extension of Mittag-Leffler function. We investigate its basic roperties, including recurrence relations, differential formulas, integral representations, aplace transform and Mellin transform.
Maged Bin-Saad, Jihad Younis
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A Mellin Transform Approach to the Pricing of Options with Default Risk. [PDF]
Comput Econ, 2022 Choi SY, Veng S, Kim JH, Yoon JH.
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The symmetric Mellin transform in quantum calculus
Le Matematiche, 2015 In this paper, we define the q-analogue of Mellin Transform symmetric under interchange of q and 1/q, and present some of its main properties and explore the possibility of using the integral transform to solve a class of differential equations q ...
Brahim Kamel Brahim +2 more
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Barrier Option Under Lévy Model : A PIDE and Mellin Transform Approach
Mathematics, 2016 We propose a stochastic model to develop a partial integro-differential equation (PIDE) for pricing and pricing expression for fixed type single Barrier options based on the Itô-Lévy calculus with the help of Mellin transform.
Sudip Ratan Chandra, Diganta Mukherjee
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A summation formula concerning the Mellin Transform
Revista Técnica de la Facultad de Ingeniería, 2010 We derive a new summation formula involving Mellin transform. We apply this formula to sum various series related to elliptic integrals and theta functions.
M. Glasser +2 more
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